Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study

Detalhes bibliográficos
Autor(a) principal: Silva, Josemar Pereira da
Data de Publicação: 2020
Outros Autores: Neto, Márcio Ribeiro Vianna, Almeida, Gustavo Matheus, Oliveira, Eder Domingos de
Tipo de documento: Artigo
Idioma: por
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/11202
Resumo: Residual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points.
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spelling Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative studyObtenção de mapas de curvas residuais para sistemas ternários azeotrópicos homogêneos: um estudo comparativoThermodynamicsPhase equilibriaResidual curve mapsTermodinâmicaEquilíbrio de fasesMapas de curvas residuaisResidual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points.Os mapas de curvas residuais são muito úteis para interpretar o desempenho da destilação azeotrópica de sistemas homogêneos. Esses mapas são obtidos através de um sistema de equações diferenciais, comumente resolvido em duas etapas, a saber, um equilíbrio líquido-vapor e um sistema de equações diferenciais. Uma solução alternativa trata ambas as etapas como um único sistema de equações. O objetivo do presente trabalho é comparar as duas abordagens de solução. Os sistemas ternários, nomeadamente etanol/metil-cicloexano/3-metil-pentano e acetato de etila/n-hexano/acetona, são usados para este fim. O coeficiente de fugacidade da fase de vapor foi calculado pela equação de Virial (truncada no segundo coeficiente), e o coeficiente de atividade da fase líquida, através dos modelos WILSON, NRTL, UNIQUAC e UNIFAC. Os resultados mostraram o potencial do método alternativo em comparação à abordagem convencional. Isso diz respeito ao tempo computacional despendido para a obtenção dos mapas das curvas residuais, igual a 4 e 25 segundos em média, respectivamente. Outra questão diz respeito à detecção da borda de destilação, que pode ser obtida sem o cálculo dos pontos de azeótropo.Universidade Federal de Viçosa - UFV2020-12-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1120210.18540/jcecvl6iss5pp0655-0665The Journal of Engineering and Exact Sciences; Vol. 6 No. 5 (2020); 0655-0665The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0655-0665The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0655-06652527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVporhttps://periodicos.ufv.br/jcec/article/view/11202/6387Copyright (c) 2020 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSilva, Josemar Pereira da Neto, Márcio Ribeiro ViannaAlmeida, Gustavo Matheus Oliveira, Eder Domingos de 2022-06-03T11:32:13Zoai:ojs.periodicos.ufv.br:article/11202Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2022-06-03T11:32:13The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
Obtenção de mapas de curvas residuais para sistemas ternários azeotrópicos homogêneos: um estudo comparativo
title Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
spellingShingle Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
Silva, Josemar Pereira da
Thermodynamics
Phase equilibria
Residual curve maps
Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
title_short Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
title_full Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
title_fullStr Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
title_full_unstemmed Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
title_sort Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
author Silva, Josemar Pereira da
author_facet Silva, Josemar Pereira da
Neto, Márcio Ribeiro Vianna
Almeida, Gustavo Matheus
Oliveira, Eder Domingos de
author_role author
author2 Neto, Márcio Ribeiro Vianna
Almeida, Gustavo Matheus
Oliveira, Eder Domingos de
author2_role author
author
author
dc.contributor.author.fl_str_mv Silva, Josemar Pereira da
Neto, Márcio Ribeiro Vianna
Almeida, Gustavo Matheus
Oliveira, Eder Domingos de
dc.subject.por.fl_str_mv Thermodynamics
Phase equilibria
Residual curve maps
Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
topic Thermodynamics
Phase equilibria
Residual curve maps
Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
description Residual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/11202
10.18540/jcecvl6iss5pp0655-0665
url https://periodicos.ufv.br/jcec/article/view/11202
identifier_str_mv 10.18540/jcecvl6iss5pp0655-0665
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/11202/6387
dc.rights.driver.fl_str_mv Copyright (c) 2020 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2020 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 6 No. 5 (2020); 0655-0665
The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0655-0665
The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0655-0665
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
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